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Popular >

7cos(6x)=2

Solución

7 cos (6 x) = 2

Solución

x = \frac{1.28104 \dots}{6} + \frac{πn}{3}, x = \frac{π}{3} - \frac{1.28104 \dots}{6} + \frac{πn}{3}

+1

Grados

x = 12.23307 \dots^{\circ} + 6 0^{\circ} n, x = 47.76692 \dots^{\circ} + 6 0^{\circ} n

Pasos de solución

7 cos (6 x) = 2

Dividir ambos lados entre

7

7 cos (6 x) = 2

Dividir ambos lados entre

7

\frac{7 cos ( 6 x )}{7} = \frac{2}{7}

Simplificar

cos (6 x) = \frac{2}{7}

cos (6 x) = \frac{2}{7}

Aplicar propiedades trigonométricas inversas

cos (6 x) = \frac{2}{7}

Soluciones generales para

cos (6 x) = \frac{2}{7}

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

6 x = arccos (\frac{2}{7}) + 2 πn, 6 x = 2 π - arccos (\frac{2}{7}) + 2 πn

6 x = arccos (\frac{2}{7}) + 2 πn, 6 x = 2 π - arccos (\frac{2}{7}) + 2 πn

Resolver

6 x = arccos (\frac{2}{7}) + 2 πn : x = \frac{arccos ( \frac{2}{7} )}{6} + \frac{πn}{3}

6 x = arccos (\frac{2}{7}) + 2 πn

Dividir ambos lados entre

6

6 x = arccos (\frac{2}{7}) + 2 πn

Dividir ambos lados entre

6

\frac{6 x}{6} = \frac{arccos ( \frac{2}{7} )}{6} + \frac{2 πn}{6}

Simplificar

x = \frac{arccos ( \frac{2}{7} )}{6} + \frac{πn}{3}

x = \frac{arccos ( \frac{2}{7} )}{6} + \frac{πn}{3}

Resolver

6 x = 2 π - arccos (\frac{2}{7}) + 2 πn : x = \frac{π}{3} - \frac{arccos ( \frac{2}{7} )}{6} + \frac{πn}{3}

6 x = 2 π - arccos (\frac{2}{7}) + 2 πn

Dividir ambos lados entre

6

6 x = 2 π - arccos (\frac{2}{7}) + 2 πn

Dividir ambos lados entre

6

\frac{6 x}{6} = \frac{2 π}{6} - \frac{arccos ( \frac{2}{7} )}{6} + \frac{2 πn}{6}

Simplificar

\frac{6 x}{6} = \frac{2 π}{6} - \frac{arccos ( \frac{2}{7} )}{6} + \frac{2 πn}{6}

Simplificar

\frac{6 x}{6} : x

\frac{6 x}{6}

Dividir:

\frac{6}{6} = 1

= x

Simplificar

\frac{2 π}{6} - \frac{arccos ( \frac{2}{7} )}{6} + \frac{2 πn}{6} : \frac{π}{3} - \frac{arccos ( \frac{2}{7} )}{6} + \frac{πn}{3}

\frac{2 π}{6} - \frac{arccos ( \frac{2}{7} )}{6} + \frac{2 πn}{6}

Cancelar

\frac{2 π}{6} : \frac{π}{3}

\frac{2 π}{6}

Eliminar los terminos comunes:

2

= \frac{π}{3}

= \frac{π}{3} - \frac{arccos ( \frac{2}{7} )}{6} + \frac{2 πn}{6}

Cancelar

\frac{2 πn}{6} : \frac{πn}{3}

\frac{2 πn}{6}

Eliminar los terminos comunes:

2

= \frac{πn}{3}

= \frac{π}{3} - \frac{arccos ( \frac{2}{7} )}{6} + \frac{πn}{3}

x = \frac{π}{3} - \frac{arccos ( \frac{2}{7} )}{6} + \frac{πn}{3}

x = \frac{π}{3} - \frac{arccos ( \frac{2}{7} )}{6} + \frac{πn}{3}

x = \frac{π}{3} - \frac{arccos ( \frac{2}{7} )}{6} + \frac{πn}{3}

x = \frac{arccos ( \frac{2}{7} )}{6} + \frac{πn}{3}, x = \frac{π}{3} - \frac{arccos ( \frac{2}{7} )}{6} + \frac{πn}{3}

Mostrar soluciones en forma decimal

x = \frac{1.28104 \dots}{6} + \frac{πn}{3}, x = \frac{π}{3} - \frac{1.28104 \dots}{6} + \frac{πn}{3}

Ejemplos populares

sin^2(θ)+cos(θ)(1-cos(θ))=0

sin^{2} (θ) + cos (θ) (1 - cos (θ)) = 0

tan (A) = \frac{94}{67}

2tan(2x)-10=34641

2 tan (2 x) - 10 = 34641

cos (θ) = 0.5747

0=(110cos(377t))/8

0 = \frac{110 cos ( 377 t )}{8}